Complete combustion of a 0.600g sample of a compound in a bomb calorimeter releases 24.0 kJ of heat. The bomb calorimeter has a mass of 1.30 kg and a specific
Chemistry
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Question
Complete combustion of a 0.600g sample of a compound in a bomb calorimeter releases 24.0 kJ of heat. The bomb calorimeter has a mass of 1.30 kg and a specific heat of 3.41 J/(gi°C). If the initial temperature of the calorimeter is 25.5°C, what is its final temperature?
A.30.9°C
B.34.5°C
C.44.0°C
D.51.5°C
A.30.9°C
B.34.5°C
C.44.0°C
D.51.5°C
2 Answer

1. User Answers Edufirst
Data:
Heat = 24 KJ = 24,000 J
mass = 1.3kg = 1300 g
Cs = 3.41 J / (g °C)
Ti = 25.5 °C
Question: Tf
Formula: Heat = mCsΔT =>
ΔT = Heat / (mCs) = 24000J/[1300g*3.41J/(g°C)] = 5.4 °C
ΔT = Tf  Ti => Tf = ΔT + Ti = 25.5°C + 5.4°C = 30.9°C
Answer: 30.9°C 
2. User Answers Eduard22sly
The final temperature of the calorimeter is 30.9 °C (Option A)
Data obtained from the question
 Heat (Q) = 24 KJ = 24 × 1000 = 24000 J
 Mass (M) = 1.30 kg = 1.3 × 1000 = 1300 g
 Specific heat capacity (C) = 3.41 J/gºC
 Initial temperature (T₁) = 25.5 °C
 Final temperature (T₂) =?
How to determine the final temperature
The final temperature of the calorimeter can be obtained as illustrated below:
Q = MC(T₂ – T₁)
24000 = 1300 × 3.41 (T₂ – 25.5)
24000 = 4433 (T₂ – 25.5)
Divide both side by 4433
24000 / 4433 = T₂ – 25.5
5.4 = T₂ – 25.5
Collect like terms
T₂ = 5.4 + 25.5
T₂ = 30.9 °C
Thus, the final temperature of the calorimeter is 30.9 °C
Learn more about heat transfer:
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